Answer: the length of the angle bisector of angle ∠A is 6 ft
Step-by-step explanation:
The diagram of the right angle triangle ABC is shown in the attached photo
Looking at triangle ABC,
cos θ = adjacent side/hypotenuse side
cos θ = 5/13 = 0.3846
θ = 67.38 degrees
The bisector of an angle divides it into two equal halves. The bisector is represented by line AD.
θ/2 = 67.38/2 = 33.69 degrees
Therefore,
Cos 33.69 = 5/AD
AD × Cos 33.69 = 5
AD = 5/Cos 33.69 = 5/0.832
AD = 6 ft
Answer:
SAS
Step-by-step explanation:
ΔABD ~ ΔECD is similar through:
S - because ED = CD (Given)
A - same angle ∠D (Statement 2)
S - because AD = BD (Given)
Cheers!
Im thinking it whould be c
Answer:
B (6, 8)
C (1, 5)
see attached diagram (qu 1 is blue, qu2 is red)
Step-by-step explanation:
1.
A = (2, 3)
If B is 4 right and 5 up from point A, then
B = (2 + 4, 3 + 5) = (6, 8)
2. C = (9, 7)
If D is 8 left and 2 down from point C, then
C = (9 - 8, 7 - 2) = (1, 5)
The factors of 2 are 2, 1
The factors of 32 are 2,16 8,4 32,1
We see that (2*-4)-(1*-8)=-16
So the factored form is:
(2x-8)(x-4)
